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Finding the Fourth Proportional to 13,758.37, 18,982.70 and 7,789.91

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Solution

The fourth proportional to 13,758.37, 18,982.70 and 7,789.91 is: 10,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.37 : 18,982.70 = 7,789.91 : x
  2. Step 2: Convert to fraction form
    13,758.37/18,982.70 = 7,789.91/x
  3. Step 3: Cross multiply
    13,758.37x = 18,982.70 × 7,789.91
  4. Step 4: Simplify right side
    13,758.37x = 147,873,438.15
  5. Step 5: Solve for x
    x = 147,873,438.15/13,758.37
  6. Step 6: Final answer
    x = 10,747.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.